What is the Greatest Common Factor of 32242 and 32254?

Greatest common factor (GCF) of 32242 and 32254 is 2.

GCF(32242,32254) = 2

We will now calculate the prime factors of 32242 and 32254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32242 and 32254.

How to find the GCF of 32242 and 32254?

We will first find the prime factorization of 32242 and 32254. After we will calculate the factors of 32242 and 32254 and find the biggest common factor number .

Step-1: Prime Factorization of 32242

Prime factors of 32242 are 2, 7, 47. Prime factorization of 32242 in exponential form is:

32242 = 2¹ × 7³ × 47¹

Step-2: Prime Factorization of 32254

Prime factors of 32254 are 2, 16127. Prime factorization of 32254 in exponential form is:

32254 = 2¹ × 16127¹

Step-3: Factors of 32242

List of positive integer factors of 32242 that divides 32242 without a remainder.

1, 2, 7, 14, 47, 49, 94, 98, 329, 343, 658, 686, 2303, 4606, 16121

Step-4: Factors of 32254

List of positive integer factors of 32254 that divides 32242 without a remainder.

1, 2, 16127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32242 and 32254. The biggest common factor number is the GCF number.
So the greatest common factor 32242 and 32254 is 2.

Also check out the Least Common Multiple of 32242 and 32254